Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 2025 10 25 On new subclasses of analytic functions associated with generalized Bessel functions 10173 10.22075/ijnaa.2024.34524.5155 EN Lolade Modupe Fatunsina Mathematics Programme, National Mathematical Centre, Abuja, Nigeria Timothy Oloyede Opoola Department of Mathematics. University of Ilorin, P.M.B. 1515, Ilorin, Nigeria Journal Article 2024 06 21 Bessel functions arise in the solution of many physical and mathematical problems. This, with some other special functions, has recently gained increased importance in the study of geometric function theory. The aim of this paper is to establish some geometric properties such as coefficient inequalities, characterization properties and convolution properties for the new subclasses $Q_n(\lambda,\alpha,\beta,\mu,t)$, $P_n(\lambda,\alpha,\beta,\mu,t)$ and $P^*_n(\lambda,\alpha,\beta,\mu,t)$ of univalent functions defined by Opoola Differential Operator in collaboration with generalized Bessel functions. Analytic and univalent functions Opoola differential operator Bessel functions Geometric properties https://ijnaa.semnan.ac.ir/article_10173_7866731eed67dc3be9693b33f50fdb48.pdf